Orateur
Benjamin Lledos
Description
We study Ambrosio-Tortorelli approximations of the Mumford-Shah functional on varying hypersurfaces, formulated in terms of Sobolev functions on rectifiable currents. We prove a compactness result for bounded-energy sequences and establish a lower bound for a generalized Mumford-Shah functional on the limiting current. In dimension two, we obtain the optimal lower bound and construct recovery sequences for a broad class of configurations.